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JEE Math Practice Question

Consider a family of circles which are passing through the point $$(-1, 1)$$ and are tangent to $$x$$-axis. If $$(h, k)$$ are the coordinate of the centre of the circles, then the set of values of $$k$$ is given by the interval :

  1. A.$$ - {1 \over 2} \le k \le {1 \over 2}$$
  2. B.$$k \le {1 \over 2}$$
  3. C.$$0 \le k \le {1 \over 2}$$
  4. D.$$k \ge {1 \over 2}$$

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